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     [13]Journal of Mathematical Biology

     Article

  Two-patch population models with adaptive dispersal: the effects of varying dispersal
                                          speeds

     * Published: 02 June 2012

     * Volume 67, pages 329-358, (2013)
     * [14]Cite this article

   [15]Journal of Mathematical Biology [16]Aims and scope [17]Submit manuscript

     * [18]Ross Cressman^[19]1 &
     * [20]Vlastimil Krivan^[21]2

     * 782 Accesses
     * 31 Citations
     * [22]Explore all metrics

Abstract

   The population-dispersal dynamics for predator-prey interactions and two
   competing species in a two patch environment are studied. It is assumed that both
   species (i.e., either predators and their prey, or the two competing species) are
   mobile and their dispersal between patches is directed to the higher fitness
   patch. It is proved that such dispersal, irrespectively of its speed, cannot
   destabilize a locally stable predator-prey population equilibrium that
   corresponds to no movement at all. In the case of two competing species,
   dispersal can destabilize population equilibrium. Conditions are given when this
   cannot happen, including the case of identical patches.

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Author information

Authors and Affiliations

    1. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5,
       Canada
       Ross Cressman
    2. Biology Center, Academy of Sciences of the Czech Republic, and Faculty of
       Biological Sciences, Branisovská 31, 370 05, Ceské Budejovice, Czech Republic
       Vlastimil Krivan

   Authors
    1. Ross Cressman
       [176]View author publications
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    2. Vlastimil Krivan
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Corresponding author

   Correspondence to [182]Vlastimil Krivan.

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Cite this article

   Cressman, R., Krivan, V. Two-patch population models with adaptive dispersal: the
   effects of varying dispersal speeds. J. Math. Biol. 67, 329-358 (2013).
   https://doi.org/10.1007/s00285-012-0548-3

   [184]Download citation
     * Received: 20 December 2011
     * Revised: 03 May 2012
     * Published: 02 June 2012
     * Issue Date: August 2013
     * DOI: https://doi.org/10.1007/s00285-012-0548-3

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Keywords

     * [185]Competition
     * [186]Dispersal
     * [187]Evolution
     * [188]Habitat selection
     * [189]Ideal free distribution
     * [190]Predator
     * [191]Prey
     * [192]Population dynamics

Mathematics Subject Classification

     * [193]34D20
     * [194]92D25
     * [195]92D40
     * [196]92D50

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